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Finding the Fourth Proportional to 9,751.38, 13,455.40 and 5,502.11

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Solution

The fourth proportional to 9,751.38, 13,455.40 and 5,502.11 is: 7,592.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,751.38 : 13,455.40 = 5,502.11 : x
  2. Step 2: Convert to fraction form
    9,751.38/13,455.40 = 5,502.11/x
  3. Step 3: Cross multiply
    9,751.38x = 13,455.40 × 5,502.11
  4. Step 4: Simplify right side
    9,751.38x = 74,032,996.11
  5. Step 5: Solve for x
    x = 74,032,996.11/9,751.38
  6. Step 6: Final answer
    x = 7,592.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.